Answer:
tan 30 = x / 15
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 30°
Opposite Leg = x
Adjacent Leg = 15
Step 2: Solve for x
Substitute in variables [tangent]: tan 30 = x / 15Answer:
3rd one
Step-by-step explanation:
Recall that
Sin = opposite over hypotenuse
Cos = adjacent over hypotenuse
Tan = opposite over adjacent
For the angle with a measure of 30 degrees we are given it's adjacent side length and need to find it's opposite side length
When dealing with opposite and adjacent we use tangent
If tan = opposite over adjacent
Then tan30 = x / 15 and the correct answer choice is the third one
Tính I = tích phân ( x^2 - 3xy) dx + ( x-y) dy với đường cung định hướng AB là ve tẻ nối điểm A ( 2,3 ) và B ( 1 , 1 )
Helppppp which one is it?
Can someone help with this
Answer: 28
Step-by-step explanation: ADB = 1/2 ACB
Ivan is saving money to buy a game. So far he has saved 8, which is one-fourth of the total cost of the game. How much does the game cost?
Answer:
[tex]\$32[/tex]
Step-by-step explanation:
Let the cost of the game be [tex]x[/tex]. Since one-fourth of the cost of the game is equal to 8 dollars, we have the following equation:
[tex]\frac{1}{4}x=8[/tex]
Multiply both sides by 4 to isolate and solve for [tex]x[/tex]:
[tex]x=8\cdot 4=\boxed{\$32}[/tex]
Arithmetic or geometric 18,13,8
Answer:
That is Arithmetic
Step-by-step explanation:
Arithmetic Sequence is described as a list of numbers, in which each new term differs from a preceding term by a constant quantity. Which is -5 in this case.
Hope this helps
Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic?
$ per comic?
Answer:
$0.25
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which expression is equivalent to (6x2 + 4)(x + 5) ?
A 6x2 + 20
B 6x2 + 16x + 20
C 603 + 30x2 + 4x + 20
D) 6x3 + 11x2 + 3x + 20
Answer: [tex]6x^3 +30x^2 +4x+20[/tex]
Step-by-step explanation:
[tex](6x^2 +4)(x+5)\\\\ =6x^3 +30x^2 +4x+20[/tex]
Pa help po plssssss
Sana po meron Ang maka-sagot ☺️☺️
Answer:
The answer is below
Step-by-step explanation:
a) the volume of the pit = length * width * depth = 9 dm * 6 dm * 7 dm = 378 dm³
Hence to fil the pit, 378 dm³ of sand is needed.
b) Volume of the room = length * width * height = 2.3 m * 0.59 m * 3.74 m = 5.08 m³
The cabinet would occupy 5.08 m³ of space.
c) volume = length * width * height
210 dm³ = 3.5 dm * 6 dm * width
width = 210 dm³ / (3.5 dm * 6 dm) = 10 dm
d) Volume of the room = length * width * height = 15 m * 15 m * 15 m = 3375 m³
The stockroom has a space of 3375 m³
e) volume = length * width * height = 5 dm * 5 dm * 5 dm = 125 dm³
The container has a space of 125 dm³
f) volume = length * width * height = 41 cm * 13 cm * 24 cm = 12792 cm³
The box has a space of 12792 cm³
g) volume of prism = length * width * height
72 m³ = 4 m * 3 m * length
length = 72 m³ / (4 m * 3 m) = 6 m
h) volume = length * width * height = 8 cm * 8 cm * 8 cm = 512 cm³
The figure has a volume of 512 cm³
i) volume = length * width * height = 5 ft * 2 ft * 3 ft = 30 ft³
The cabinet has a space of 30 ft³
what is 7x+3y=9 in y-intercept form?
Answer:
y = -2 1/3+3
Step-by-step explanation:
-Subtract 7x from each side of equation
-divide by 3 on each side
7x+3y = 9
3y = -7x+9
y = -7/3+3
:) ur welcome
(Y = 179x
(Y = 105x + 2046
Graph pls
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator does a nice job of graphing these equations.
__
The very steep slope suggests the graph will need somewhat different vertical and horizontal scales in order to show anything useful.
What is the difference of the polynomials?
(5x^3 + 4x^2) - (6x^2 - 2x - 9)
Answers:
A.) -x^3 + 6x^2 + 9
B.) -x^3 + 2x^2 - 9
C.) 5x^3 - 2x^2 - 2x - 9
D.) 5x^3 - 2x^2 + 2x + 9
Answer:
D
Step-by-step explanation:
We want to find the difference between the two polynomials:
[tex](5x^3+4x^2)-(6x^2-2x-9)[/tex]
Distribute the negative:
[tex]=(5x^3+4x^2)+(-6x^2+2x+9)[/tex]
Rearrange the terms:
[tex]=(5x^3)+(4x^2-6x^2)+(2x)+(9)[/tex]
Combine like terms. Hence:
[tex]=5x^3-2x^2+2x+9[/tex]
Our answer is D.
12 Kendrick wants to build a slide for his son in the backyard. He buys a
slide that is 8 feet long. The height of the stairs is 5 feet. Find the
distance from the bottom of the stairs to the base of the slide.
Which expression represents the area in square centimeters of the new cup opening? Use A=2
Answer:
A = πx² - 2πx + π
Step-by-step explanation:
The area of the new cup opening :
We are given the area formula to use :
Area, A = πr²
r = Radius = x-1
Area = π(x - 1)²
A = π(x - 1)(x - 1)
A = π(x² - x - x + 1)
A =π(x² - 2x + 1)
A = πx² - 2πx + π
There is a study on exercise and health: a group of women who have been exercising regularly for 5 years are grouped and given a wellness exam and compared to a group of women who have not exercised in the past five years. What kind of data collection is this?
Experiment
Survey
Simulation
Observational Study
Answer:
Survey Data Collection.
Step-by-step explanation:
This is a survey because there are survey questionnaires (wellness exam).
Answer:
Observational Study Is the Answer
What is the equation of a circle with center (1,-4) and radius 2?
O
A. (x-1)2 + (y + 4) = 4
B. (x-1) - (y + 4)2 - 4
O C. (x+1)2 + (y - 4)2 - 4
D. (x - 1)2 + (y + 4)2 - 2
I’ve been stuck on this problem I can’t seem to get 7 9/4 into the ABC form
Answer:
7 square root 9^4
Step-by-step explanation:
*PLEASE HELP ASAP I WILL MARK BRAINLIST*
(Questions and Answers pictured)
Answer:
The first equation, sorry can’t explain.
Answer:
g(x)=3f(2x)
I think
Use the piecewise function below to evaluate the points f(–3), f(0), and f(–1).
{9x,x−4,x<−1x≥−1
Question 17 options:
f(–3) = –7, f(0) = –0, and f(–1) = 5
f(–3) = –27, f(0) = –4, and f(–1) = 5
f(–3) = –7, f(0) = –4, and f(–1) = –1
f(–3) = –27, f(0) = –4, and f(–1) = –5
Given:
The piecewise function is:
[tex]f(x)=\begin{cases}9x & \text{ if } x<-1 \\ x-4 & \text{ if } x\geq -1 \end{cases}[/tex]
To find:
The values of [tex]f(-3),f(0), f(-1)[/tex].
Solution:
In the given piecewise function,
[tex]f(x)=9x[/tex] for [tex]x<-1[/tex] and [tex]f(x)=x-4[/tex] for [tex]x\geq -1[/tex].
Putting [tex]x=-3[/tex] in [tex]f(x)=9x[/tex], we get
[tex]f(-3)=9(-3)[/tex]
[tex]f(-3)=27[/tex]
Putting [tex]x=0[/tex] in [tex]f(x)=x-4[/tex], we get
[tex]f(0)=0-4[/tex]
[tex]f(0)=-4[/tex]
Putting [tex]x=-1[/tex] in [tex]f(x)=x-4[/tex], we get
[tex]f(-1)=-1-4[/tex]
[tex]f(-1)=-5[/tex]
The required values are [tex]f(-3)=27,f(0)=-4,f(-1)=-5[/tex].
Therefore, the correct option is D.
If f(x) = 3x⁴ - 13x, find f(-2)
Answer:
answer is
74....................
A school principal wants to know more about the number of students absent each day. He counts the number of students absent each day for one week: {24, 18, 31,
Answer:
6.27
Step-by-step explanation:
We are to obtain the standard deviation of the given values :
{24, 18, 31,25, 34}
The standard deviation = √(Σ(x - mean)²/ n)
The mean = (ΣX) /n
Using calculator to save computation time :
The standard deviation, s = 6.27 (2 decimal places)
the area of a square is 196m2. What is the length of one side
Answer:
14
Step-by-step explanation:
Simply take the square root of 196.
Hope that this helps!
Answer:
The side length is 14 m
Step-by-step explanation:
The formula for the area of a square is A = s^2, where s represents the length of one side.
If A = s^2 = 196m^2, we find the side length by taking the square root of both sides:
s = √(196 m^2) = 14 m
The side length is 14 m
Write equation could use to find number of centimeters in 1 inch.
Answer:
0.393701 cm = 1 in
Step-by-step explanation:
We want to find the number of centimeters in 1 inch.
First, the two conversion rates we need to use:
1m = 100 cm
1m = 39.3701 in
From these two equations, we can conclude that:
100cm = 1m = 39.3701 in
100cm = 39.3701 in
Because we want to find the total number of centimeters in 1 inch, we need to divide both sides by 39.3701
We will get:
(100cm)/39.3701 = (39.3701 in)/39.3701
0.393701 cm = 1 in
This equation gives us the number of centimeters in one inch.
What is the measure of E, in degrees?
5
48°
F
Answer:
A) 84°
Step-by-step explanation:
Since ED=EF=5
then F=D=48°
Then E=180°-48°-48°=84°
A cone has a height of 3 feet. The diameter of the base is 8 feet. What is the approximate volume of the cone in feet to the nearest hundreth?
Answer:
12.56 feet cubed
Step-by-step explanation:
Diameter of 8= radius of 4
4 x 3.14=12.56
12.56x3=37.68
37.68/3=12.56
1. There are 2 schools. Each school has 3 buildings. Each building has 4 floors. Each floor has 5 classrooms. Each classroom has 6 rows of desks. Each row has 7 desks. How many desks are there in the two schools?
Find the Value of x
Answer:
42
Step-by-step explanation:
(adjacent straight angles sum up to 180)
3x+54=180
x=42
The square below represents one whole.
What percent is represented by the shaded area?
%
The anwser is 6%
Answer:
the answer is 6%
hdhxbxcbxbxszznzj
What is the formula of a palindrome?
Answer:
For example, 6(1001) + 3(110) = 6006 + 330 = 6336 is a palindrome. Since 11 is a factor of both 1001 and 110, we conclude that all four digit palindromes are divisible by 11.
HW HELP ASAP PLZZZZZ
Answer:
3
Step-by-step explanation:
I think its 3 because when we add 2 to x the graphic must be continue two step to right
2
Question 10 Multiple Choice Worth 5 points)
(06 02 MC)
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
1
5x + 2y = 2
3x - 3y = 18
The slopes are the same, and the y.Intercepts are the same
The slopes are the same, and the y-intercepts are different
The slopes are different, and the y-intercepts are the same
Previous Question
Question 1 (Answered)
ON
Type here to search
O
BE
C
84'F Rain coming
AG
Answer:
the slopes are different, and the y-intercepts are also different
Step-by-step explanation:
We can rewrite the equations given in slope-intercept to easily determine the slope (m) and the y-intercept (b). Slope-intercept equation is y = mx + b
Let's rewrite each equation:
✔️5x + 2y = 2
Subtract 5x from each side
2y = -5x + 2
Divide both sides by 2
y = -5x/2 + 2/2
y = -⁵/2(x) + 1
The slope (m) = -⁵/2
y-intercept (b) = 1
✔️3x - 3y = 18
Subtract 3x from each side
-3y = -3x + 18
Divide both sides by -3
y = -3x/-3 + 18/-3
y = x - 6
Slope (m) = 1
y-intercept (b) = -6
✅Therefore, the slopes are different and the y-intercepts are also different